I know in a building we have lightning rods that conduct a lightning strike into the earth, but for an aircarft there is no ground to 'ground' so I assume the lightning enters and passes through the aircraft. Therefore, since some areas must have high resistance paths of protection, for example a path through the antennas or main electronics bay, they must be an alternate low resistance path capable of conducting a very high power flow with minimum damage and burning. What is this design path?

It is estimated that on average, each airplane in the U.S. commercial
fleet is struck lightly by lightning more than once each year.

Initially, the lightning will attach to an extremity such as the nose
or wing tip. The airplane then flies through the lightning flash,
which reattaches itself to the fuselage at other locations while the
airplane is in the electric "circuit" between the cloud regions of
opposite polarity. The current will travel through the conductive
exterior skin and structures of the aircraft and exit off some other
extremity, such as the tail. Pilots occasionally report temporary
flickering of lights or short-lived interference with instruments.

Every circuit and piece of equipment that is critical or essential to
the safe flight and landing of an aircraft must be verified by the
manufacturers to be protected against lightning in accordance with
regulations set by the Federal Aviation Administration (FAA) or a
similar authority in the country of the aircraft's origin.

Planes are now built to absorb 250,000 amps, whereas the average
strike generates 32,000 amps.

"It only gets really serious when the radome [nose cone] is struck,
the only part of the plane's shell not made of metal, as this is where
the radar is located. But nose cones have special lightning conductors
for just this reason."

The 787 flight test team gathered the unexpected data last month after
one of the Dreamliner test aircaft was struck by lightning. Unlike
traditional aluminum aircraft where the entire aircraft is conductive,
on a composite airplane the charge from a lightning strike would find
its way to the conductive parts such as wiring or hinges. In order to
avoid the risk of the charge damaging these kinds of parts, Boeing
had to add conductive material to the composites in order to provide a
pathway for lightning strikes.